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International Journal of Theoretical Physics

Transient Optical Regime of Two Level Atom in Laser Light

Smail B. Bougouffa, S. Al‐Awfi

Published Mar 19, 2007• 9 citations
Publisher
DOI
10.1007/s10773-006-9250-9

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Acta Physica Polonica A•Apr 1, 2013•1 citation
We are concerned with an analytic separation approach of the optical Bloch equations in the case of the two-level atom interacting with a classical light. The conditions that permit a complete separation of these equations are extracted in a natural manner and the exact solutions are obtained. A theoretical comparison with Torrey method is given. In this context, we find that the transient regime, valid from the instant of the application of the laser on atom, is significant for the evolution of forces and the dynamics before the steady-state regime will be reached. The case of Eu3 + ion moving in plane-light wave and standing-wave is treated with some details. The implications of the results for operating atoms and ions using laser light are discussed.
The time evolution of the radiation pressure forces due to the action of a laser light on two-level atom moving inside a long hollow cylinder with a rectangular cross-section of sub-wavelength dimensions a × b is presented.This evolution is considered when the frequency of the light is comparable to a dipole allowed transition frequency.In this limit, the decay emission Γ is possible only via a very small number of modes.From the solutions of the Bloch equations in the dynamic regime, we nd that the transient regime, applicable from the instant the laser is switched on.This is important for the gross motion, provided that the upper-state lifetime Γ -1 is relatively long while the steady-state regime, formally such that t Γ -1 , is appropriate for the evaluation of the forces and the dynamics for large Γ .Signicant variations of the characteristics of the system are emphasized.These features are illustrated using typical parameters for the case of Eu 3+ that has a particularly small Γ .